Abstract
Electrostatically actuated nano-wires/tubes have many operational applications as nano-switches and ultra-sensitive sensors/actuators. In this paper, the coupled effects of geometrical characteristics, thermoelasticity, size and surface on the static and dynamic responses of nano-bridges including nonlinear curvature under Coulomb and dispersion forces using couple stress theory are presented. The Galerkin method is used to discretize the governing differential equation, which is derived via Hamilton's principle, and the step-by-step linearization method is employed to solve them numerically. Herein, analysis of the nonlinear pull-in behavior and electro-thermo-mechanical vibration of cylindrical nano-beams are discussed in detail. It is concluded that both the pull-in voltage and the fundamental frequency of nano-wires change prominently with the variation of temperature, length-scale and surface energy. Furthermore, the impact of couple stress and temperature rise on the threshold voltage changes with the change of Poisson's ratio. The obtained results can be used for applying design and miniature device fabrication.
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